Exam (elaborations)
AXIOMS AND DEFINITIONS QUESTIONS AND ANSWERS
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AXIOMS AND DEFINITIONS QUESTIONS AND ANSWERS
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Name: Score:26 Multiple choice questions
Definition 1 of 26
the real number keeps it identity or stays the same (x+0=x or 1x=x)
closure axioms
closure axioms
commutative axioms
indentity axioms
Definition 2 of 26
0x=0
multiplication property of 0
multiplication property of equality
commutative property
multiplication property of -1
Definition 3 of 26
x(1/x)=1
multiplicative indentity axiom
multiplication property of -1
multiplicative inverses for axiom
associative axiom for addition
,Definition 4 of 26
equivalent expression where order isn't changed, but grouping is [(x+y)+z=x+(y+z) or (xy)z=x(yz)
closure axioms
associative axioms
indentity axioms
distibutive axioms
Definition 5 of 26
if x=y then xz=yz because since x and y equal eachother and they are being multiplied by the
same amount they become equal
property
addition property of equality
multiplication property of -1
multiplication property of equality
Definition 6 of 26
order is changed, but still equal to eachother (x+y=y+x or xy=yx)
commutative axioms
commutative axiom for multiplication
indentity axioms
closure axioms
Definition 7 of 26
transitive axiom, symmetric axiom, and reflexive axiom
11 field axioms
commutative axioms
3 equality axioms
15 equality axioms
, Definition 8 of 26
1x=x
multiplication property of -1
multiplicative inverses for axiom
multiplicative indentity axiom
multiplication property of 0
Definition 9 of 26
x+0=x
add ax of 0
reflexive axiom of equality
additive inverses axiom
additive identity axiom
Definition 10 of 26
if x=y then x+z=y+z because x and y are the same and they are both adding the same amount (z)
making them equal
multiplication property of equality
addition property of equality
symmetric axiom of equality
transitive axiom of equality
Definition 11 of 26
x+y=y+x
associative axiom for addition
commutative axiom for addition
identity axiom for addition
commutative axiom for multiplication
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